http://programmer.ie/tags/space-translation/ Recent content in Space Translation on Programmer.ie: Modern AI programming Hugo en-us Mon, 07 Sep 2026 14:20:00 +0000 http://programmer.ie/books/embeddings-from-first-principles/20-chapter/ Mon, 07 Sep 2026 14:20:00 +0000 http://programmer.ie/books/embeddings-from-first-principles/20-chapter/ <p><em>Part VI — Crossing Embedding Spaces</em></p> <h2 id="a-map-is-not-a-bridge">A map is not a bridge</h2> <p>Chapter 19 produced a matrix <code>W</code> (or an MLP) that translates vectors from space A to space B. Deploying that matrix as &ldquo;space A and space B are now compatible&rdquo; is the mistake this chapter prevents.</p> <p>A map is a function. A <strong>bridge</strong> is a map plus the record of <em>what it was shown to preserve, for whom, under what conditions</em> — and, crucially, an explicit scope of what it must not be used for.</p>